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137664480 = 2535286801
BaseRepresentation
bin10000011010010…
…01011111100000
3100121001002011110
420031021133200
5240220230410
621354343320
73261062112
oct1015113740
9317032143
10137664480
11707873a8
123a12ab40
13226a0295
14143d73b2
15c144720
hex83497e0

137664480 has 48 divisors (see below), whose sum is σ = 433644624. Its totient is φ = 36710400.

The previous prime is 137664473. The next prime is 137664497. The reversal of 137664480 is 84466731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142921 + ... + 143880.

It is an arithmetic number, because the mean of its divisors is an integer number (9034263).

Almost surely, 2137664480 is an apocalyptic number.

137664480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137664480 is an abundant number, since it is smaller than the sum of its proper divisors (295980144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137664480 is a wasteful number, since it uses less digits than its factorization.

137664480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286819 (or 286811 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 137664480 is about 11733.0507541730. The cubic root of 137664480 is about 516.3457810938.

It can be divided in two parts, 1376 and 64480, that added together give a palindrome (65856).

The spelling of 137664480 in words is "one hundred thirty-seven million, six hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 286801 573602 860403 1147204 1434005 1720806 2294408 2868010 3441612 4302015 4588816 5736020 6883224 8604030 9177632 11472040 13766448 17208060 22944080 27532896 34416120 45888160 68832240 137664480